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A characterization of translational hulls of a strongly right type B semigroup

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Abstract The aim of this paper is to study the translational hull of a strongly right type B semigroup. Our main result is to prove that the translational hull of… Click to show full abstract

Abstract The aim of this paper is to study the translational hull of a strongly right type B semigroup. Our main result is to prove that the translational hull of a strongly right type B semigroup is itself a strongly right type B semigroup. As an application, we give a proof of a problem posted by Petrich on translational hulls of inverse semigroups in Petrich (Inverse Semigroups, Wiley, New York, 1984) to the cases of some strongly right type B semigroups.

Keywords: strongly right; translational hulls; type semigroup; right type

Journal Title: Open Mathematics
Year Published: 2019

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